Finding the Third Proportional to 449 and 762
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Solution
The third proportional to 449 and 762 is: 1,293.19
Step by Step Solution
- Step 1: Write the proportion equation
449 : 762 = 762 : x - Step 2: Convert to fraction form
449/762 = 762/x - Step 3: Cross multiply
449x = 762 × 762 - Step 4: Simplify right side
449x = 580,644 - Step 5: Solve for x
x = 580,644/449 - Step 6: Final answer
x = 1,293.19
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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.